 | Charles Davies - Algebra - 1860 - 412 pages
...both members, N* = a? + 2ab '+ 62 : Hence, the square of a number is equal to the square of the lens, plus twice the product of the tens by the units, plus the square of the units. For example, 78 = 70 + 8, hence, (78)2 = (70)2 + 2 x 70 x 8 + (8)2 = 4900 + 1120 + 64 = 6084. 95* Let... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...second period 41, and annexing them on the right of 4, the result is 441, a number which contains tnice the product of the tens by the units, plus the square of the units. We may further prove, as in the last case, that if we point off the last figure 1, and divide the preceding... | |
 | Charles Davies - Algebra - 1861 - 322 pages
...Which proves that the square of a number composed of tens and units, equals the square of the lens plus twice the product of the tens by the units, plus the square of the units. 94. If now, we make the units 1, 2, 3, 4, &c., tens, or units of the second order, by annexing to each... | |
 | Education - 1861 - 552 pages
...period must be the square of the tens. After taking out this square of the tens, we have left the double product of the tens by the units plus the square of the units. By dividing the double product by double the tens, we find the units. BY inspection, we may often determine... | |
 | Thomas Sherwin - 1862 - 252 pages
...+ 9 = 529. Hence, When a number contains units and tens, its second power contains the second power of the tens, plus twice the product of the tens by the units, plus the second power of the units. Let us now, by a reverse operation, deduce the root from the power. Operation.... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...square root. 2141 The square of any number, consisting of more than one place of figures, is equal to the square of the tens, plus twice the product of...the tens by the units, plus the square of the units. For, if the tens of a number bo denoted by a, and the units by Ь, the number will be denoted by a... | |
 | Elias Loomis - Algebra - 1864 - 386 pages
...the number of tens, whose square is 400; and if we subtract this from 529, the remainder 129 contains twice the product of the tens by the units, plus the square of the units. If, then, we divide this remainder by twice the tens, we shall obtain the units, or possibly a number... | |
 | Charles William Hackley - Algebra - 1864 - 532 pages
...the second period 41, and annexing them on the right of 4, the result is 441, a number which contains twice the product of the tens by the units, plus the square of tin- units. W^e may farther prove, as in the last case, that if we point off the last figure 1, and... | |
 | Charles Davies - Arithmetic - 1865 - 468 pages
...period, and subtract; this 85^42 5 takes away the square of the tens, and leaves 42 5 425, which is twice the product of the tens by the units plus the square of the units. If, now, we double the tens, and then divide the remainder, exclusive of the right-hand figure (since... | |
 | Elias Loomis - Algebra - 1868 - 312 pages
...Hence we see that the square of a number composed of tens and units contains the square of the tent plus twice the product of the tens by the units, plus the square of the units. Now the square of tens can give no significant figure in the first right-hand period ; the square of... | |
| |
Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units. 
